{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 59,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "# -*-coding:utf-8-*-\n",
    "\n",
    "import pandas as pd     \n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "%matplotlib inline\n",
    "# x = np.random.randn(0, 100, 1)\n",
    "x = np.linspace(-np.pi*3, 3*np.pi)\n",
    "y1 = np.sin(x)+np.pi*0.5-np.cos(x)\n",
    "y2 = np.sin(x)-np.cos(x)\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 133,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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6HcXZbDbyt64mwjNAvAV9DbVKTVpADGfrymkpLVY6HbuQv301Oq2Osd7iOMzX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\ngg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x270f990f98>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "2.9848282275 1.0\n"
     ]
    }
   ],
   "source": [
    "fig, ax = plt.subplots(figsize=(8,6))\n",
    "# ax.set_visible(ax.spines['right']=False)\n",
    "fig.dpi = 72\n",
    "ax.spines['left'].set_position('center')\n",
    "ax.spines['bottom'].set_position('center')\n",
    "ax.spines['right'].set_visible(False)\n",
    "ax.spines['top'].set_visible(False)\n",
    "# ax.set_yticks([0,1,2,3])\n",
    "# ax.set_yticklabels([0,1,2,3])\n",
    "ax.set_ylim(-4,4)\n",
    "ax.set_xlim(-10,10)\n",
    "ax.plot(x,y1,'k',label=r'$\\sin(x)$+0.5*$\\pi$-$\\cos(x)$')\n",
    "ax.plot(x,y2,'k',label=r'$\\sin(x)$-$\\cos(x)$')\n",
    "ax.axvline(x = -np.pi*3,ymin=0.62,ymax=0.82,color='k')\n",
    "ax.axvline(np.pi*3,ymin=0.62,ymax=0.82,color='k')\n",
    "# ax.axhline(y1.max(),color='m')\n",
    "ax.axhspan(-1.5,3,0.028,0.97,alpha=0.5)\n",
    "# ax.legend()\n",
    "# ax.set_xticks([-6,-4,-2,0,2,4,6])\n",
    "# ax.set_xticklabels([r'-3$\\pi$', r'-2$\\pi$',  r'-$\\pi$', '0', r'$\\pi$', r'2$\\pi$',r'3$\\pi$'])\n",
    "# ax.set_title('y1 = $\\sin(x)$+0.5*$\\pi$-$\\cos(x)$\\ny2 = $\\sin(x)$-$\\cos(x)$' )\n",
    "ax.fill_between(x,y2,y1,color='r')\n",
    "plt.show()\n",
    "print(y1.max(),y2[0])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 154,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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njXV5tuN4nBb387Dr0EnuWpxO9zbNeHZkb0T0QiWlvMkfftGJ6/u05YWPt/B1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\nH9LirpRSfkiLu1JK+aH/D4rL3JPoy4ZZAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x270dbc62e8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(ax.acorr(x)[0],ax.acorr(x)[1])\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 109,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Histogram of IQ: $\\mu=9.187$, $\\sigma=0.11$\n"
     ]
    }
   ],
   "source": [
    "print(r'Histogram of IQ: $\\mu=9.187$, $\\sigma=0.11$')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 161,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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UACIiCUoBICKSoBQAIiIJSgEgIpKgFAAiIglKASAikqAUACIiCcqcc17X0Cgz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\n1PUEvKIAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x270f8e9c88>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(ax.xcorr(x,y1)[0],ax.xcorr(x,y1)[1])\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 185,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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NlWWwm3QU596EaDyF8bll9NSWTriBbD33kC+M5USqpM8rF1YTk42lE26HWY/mKgsGpumz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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x270fe456a0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import matplotlib.pylab as pb\n",
    "pb.xticks([-10,-5,0,5,10])\n",
    "pb.yticks([-3,-2,-1,0,1,2,3])\n",
    "\n",
    "pb.plot(x,y1)\n",
    "pb.show()\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 191,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(array([  0.00000000e+00,   2.79956453e+00,  -2.21983428e+00,\n",
       "          9.67242891e-01,  -1.96759011e+00,  -1.72161008e+00,\n",
       "         -1.46424956e+00,  -1.21180114e+00,  -9.75231477e-01,\n",
       "         -7.60207983e-01,  -5.68014937e-01,  -3.97337256e-01,\n",
       "         -2.45848612e-01,  -1.11187834e-01,   8.56808377e-03,\n",
       "          1.14707821e-01,   2.07793915e-01,   2.87569954e-01,\n",
       "          3.52799759e-01,   4.00986224e-01,   4.27932763e-01,\n",
       "          4.27193802e-01,   3.89817773e-01,   3.05886907e-01,\n",
       "          1.71198624e-01,   3.46730128e-13]),\n",
       " array([ 0.  ,  0.04,  0.08,  0.12,  0.16,  0.2 ,  0.24,  0.28,  0.32,\n",
       "         0.36,  0.4 ,  0.44,  0.48,  0.52,  0.56,  0.6 ,  0.64,  0.68,\n",
       "         0.72,  0.76,  0.8 ,  0.84,  0.88,  0.92,  0.96,  1.  ]),\n",
       " <matplotlib.lines.Line2D at 0x270f9a1cf8>)"
      ]
     },
     "execution_count": 191,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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wSOACYBdwF2DOuVPSFNuI1ds1LTBwQtjT3kVPyMV1BiFqos9LQ2tArTTj8Mza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\nCUFERCKUEEREBFBCEBGRCCUEEREB4P8DXZ8x0GyNw4MAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x270e630c18>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "pb.angle_spectrum(y)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 244,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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hhDIhhv08DPeMuQfVX1VDYC24/ZHPcHsqswpQNiihrFeira4NP234CQdnHIQ1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\n9FZ6myRY3gAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x270fa2a048>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = pb.subplots()\n",
    "ax.spines['top'].set_visible(False)\n",
    "ax.spines['right'].set_visible(False)\n",
    "ax.spines['left'].set_position(('data',0))\n",
    "ax.spines['bottom'].set_position(('data',0))\n",
    "# ax.set_xlim(-4,4)\n",
    "# ax.set_ylim(-4,4)\n",
    "ax.plot(x,y-np.tan(x),'k',x,y,'m')\n",
    "pb.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 259,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": 275,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "from  h5py import *"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 274,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "ename": "NameError",
     "evalue": "name 'te' is not defined",
     "output_type": "error",
     "traceback": [
      "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m",
      "\u001b[0;31mNameError\u001b[0m                                 Traceback (most recent call last)",
      "\u001b[0;32m<ipython-input-274-6d646daab06b>\u001b[0m in \u001b[0;36m<module>\u001b[0;34m()\u001b[0m\n\u001b[0;32m----> 1\u001b[0;31m \u001b[0mte\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mhdf5\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mclose\u001b[0m\u001b[1;33m(\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0m",
      "\u001b[0;31mNameError\u001b[0m: name 'te' is not defined"
     ]
    }
   ],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.6.0"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
